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491124240 = 2432541127131
BaseRepresentation
bin11101010001011…
…111011000010000
31021020010200210200
4131101133120100
52001211433430
6120422255200
715112326045
oct3521373020
91236120720
10491124240
11232254a02
12118587500
137a998179
14493251cc
152d1b3460
hex1d45f610

491124240 has 240 divisors, whose sum is σ = 1715890176. Its totient is φ = 125798400.

The previous prime is 491124209. The next prime is 491124247. The reversal of 491124240 is 42421194.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (491124247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3748975 + ... + 3749105.

Almost surely, 2491124240 is an apocalyptic number.

491124240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857945088).

491124240 is an abundant number, since it is smaller than the sum of its proper divisors (1224765936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

491124240 is a wasteful number, since it uses less digits than its factorization.

491124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 491124240 is about 22161.3230651963. The cubic root of 491124240 is about 788.9759952602.

The spelling of 491124240 in words is "four hundred ninety-one million, one hundred twenty-four thousand, two hundred forty".